Given that f(x)=x2+3x−70 and g(x)=x−7, find f(x)−g(x) and express the result as a polynomial in simplest form.
\boxed{x^2 + 2x - 63}
Step 1 :Subtract g(x) from f(x) term by term: f(x)−g(x)=(x2+3x−70)−(x−7)
Step 2 :Simplify the expression: x2+3x−70−x+7=x2+2x−63
Step 3 :\boxed{x^2 + 2x - 63}